312141404404457 has 2 divisors, whose sum is σ = 312141404404458. Its totient is φ = 312141404404456.

The previous prime is 312141404404397. The next prime is 312141404404463. The reversal of 312141404404457 is 754404404141213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271896223004176 + 40245181400281 = 16489276^2 + 6343909^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141404404457 - 2²⁴ = 312141387627241 is a prime.

It is not a weakly prime, because it can be changed into another prime (312141404406457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070702202228 + 156070702202229.

It is an arithmetic number, because the mean of its divisors is an integer number (156070702202229).

Almost surely, 2^{312141404404457} is an apocalyptic number.

It is an amenable number.

312141404404457 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141404404457 is an equidigital number, since it uses as much as digits as its factorization.

312141404404457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 860160, while the sum is 44.

The spelling of 312141404404457 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred four million, four hundred four thousand, four hundred fifty-seven".